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Finding the Fourth Proportional to 2,193.19, 3,289.82 and 654.19

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Solution

The fourth proportional to 2,193.19, 3,289.82 and 654.19 is: 981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.19 : 3,289.82 = 654.19 : x
  2. Step 2: Convert to fraction form
    2,193.19/3,289.82 = 654.19/x
  3. Step 3: Cross multiply
    2,193.19x = 3,289.82 × 654.19
  4. Step 4: Simplify right side
    2,193.19x = 2,152,155.85
  5. Step 5: Solve for x
    x = 2,152,155.85/2,193.19
  6. Step 6: Final answer
    x = 981.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.